Finite Group Databasebeta

← Group #72240553

Character table — Group #72240553

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136
size11111111222222222222222222222222222244444444444444448888888888888888888888888888888888888888888888888888888816161616161616161616161616161616161616161616161616161616
order1222222222222222222222222222222222222222222244444444222222222222222244444444444444444444444444444444444444444444444444444444444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ51111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ9111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ14111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ17111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ18111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ19111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-1-111−i−iii−i−iii−i−iii−i−iii
χ20111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-1-111ii−i−iii−i−iii−i−iii−i−i
χ21111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-11111-1-1-1-111ii−i−iii−i−i−i−iii−i−iii
χ22111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-11111-1-1-1-111−i−iii−i−iiiii−i−iii−i−i
χ23111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1−i−iii−i−iiiii−i−iii−i−i
χ24111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1ii−i−iii−i−i−i−iii−i−iii
χ25111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-1-111ii−i−i−i−iiiii−i−i−i−iii
χ26111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-1-111−i−iiiii−i−i−i−iiiii−i−i
χ27111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii-1-11111-1-111-1-1−i−iiiii−i−i−i−iiiii−i−i
χ28111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-111-1-1ii−i−i−i−iiiii−i−i−i−iii
χ29111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ30111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1111111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii
χ31111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−i−iiiii−i−iii−i−i−i−iii
χ32111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i
χ332222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-222-2-222-2-20000000022-2-2-2-222000000000000000000000000000000000000000000000000000000000000
χ342222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-22222-2-2000000000000000000000000000000000000000000000000000000000000
χ352222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-22222222222-2-2-2-2220000000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000
χ362222222222-2-2-2-2-2-2-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-222222222-2-22222-2-200000000-2-222-2-222000000000000000000000000000000000000000000000000000000000000
χ372222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-2222222-2-2222200000000-2-222-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ382222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-22222-2-2-2-2-2-2-2-22222-2-222-2-2-2-20000000022-2-22222000000000000000000000000000000000000000000000000000000000000
χ392222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2-2-200000000-2-2222222000000000000000000000000000000000000000000000000000000000000
χ402222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-222222222-2-2-2-2-2-22222220000000022-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000
χ41222-2-2-2-222-22222-2-2-2-22222-2-222-2-22-222-2-2-2-2000000000000000000002-22-20000000000002-22-2000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ42222-2-2-2-222-22222-2-2-2-22222-2-222-2-22-222-2-2-2-2000000000000000000002-22-20000000000002-22-200000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ43222-2-2-2-222-22222-2-2-2-22222-2-222-2-22-222-2-2-2-200000000000000000000-22-22000000000000-22-22000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000
χ44222-2-2-2-222-22222-2-2-2-22222-2-222-2-22-222-2-2-2-200000000000000000000-22-22000000000000-22-2200000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000
χ45222-2-2-2-222-22222-2-2-2-2-2-2-2-222-2-2222-2-2-22222000000000000000000002-2-220000000000002-2-220000000022-2-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ46222-2-2-2-222-22222-2-2-2-2-2-2-2-222-2-2222-2-2-22222000000000000000000002-2-220000000000002-2-2200000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000
χ47222-2-2-2-222-22222-2-2-2-2-2-2-2-222-2-2222-2-2-2222200000000000000000000-222-2000000000000-222-20000000022-2-2-2-222-2-22222-2-2000000000000000000000000000000000000
χ48222-2-2-2-222-22222-2-2-2-2-2-2-2-222-2-2222-2-2-2222200000000000000000000-222-2000000000000-222-200000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000
χ49222-2-2-2-222-2-2-2-2-222222222-2-2-2-2222-2-2-222-2-2000000000000000000002-2-22000000000000-222-22i2i−2i−2i2i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ50222-2-2-2-222-2-2-2-2-222222222-2-2-2-2222-2-2-222-2-2000000000000000000002-2-22000000000000-222-2−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ51222-2-2-2-222-2-2-2-2-222222222-2-2-2-2222-2-2-222-2-200000000000000000000-222-20000000000002-2-222i2i−2i−2i2i2i−2i−2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ52222-2-2-2-222-2-2-2-2-222222222-2-2-2-2222-2-2-222-2-200000000000000000000-222-20000000000002-2-22−2i−2i2i2i−2i−2i2i2i00000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ53222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-22-222-2-222000000000000000000002-22-2000000000000-22-2222-2-2-2-222000000000000000022-2-2-2-2220000000000000000000000000000
χ54222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-22-222-2-222000000000000000000002-22-2000000000000-22-22-2-22222-2-20000000000000000-2-22222-2-20000000000000000000000000000
χ55222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-22-222-2-22200000000000000000000-22-220000000000002-22-222-2-2-2-2220000000000000000-2-22222-2-20000000000000000000000000000
χ56222-2-2-2-222-2-2-2-2-22222-2-2-2-22222-2-22-222-2-22200000000000000000000-22-220000000000002-22-2-2-22222-2-2000000000000000022-2-2-2-2220000000000000000000000000000
χ57222-2-2-2-22-2222-2-222-2-222-2-22-22222-22-2-2-2-22-222-2-222-2-222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i
χ58222-2-2-2-22-2222-2-222-2-222-2-22-22222-22-2-2-2-22-222-2-222-2-222-2-222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i
χ59222-2-2-2-22-2222-2-222-2-222-2-22-22222-22-2-2-2-22-2-2-222-2-222-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i
χ60222-2-2-2-22-2222-2-222-2-222-2-22-22222-22-2-2-2-22-2-2-222-2-222-2-222-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i
χ61222-2-2-2-22-2222-2-222-2-2-2-222-22-2-2-2-2-222222-2222-2-2-2-22222-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000000000002-2-222-2-22
χ62222-2-2-2-22-2222-2-222-2-2-2-222-22-2-2-2-2-222222-2222-2-2-2-22222-2-2-2-2220000000000000000000000000000000000000000000000000000000000000000000000000000-222-2-222-2
χ63222-2-2-2-22-2222-2-222-2-2-2-222-22-2-2-2-2-222222-22-2-22222-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000000000002-2-22-222-2
χ64222-2-2-2-22-2222-2-222-2-2-2-222-22-2-2-2-2-222222-22-2-22222-2-2-2-22222-2-20000000000000000000000000000000000000000000000000000000000000000000000000000-222-22-2-22
χ65222-2-2-2-22-22-2-222-2-22222-2-22-2-2-2-2-2-2222222-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000000000000000000000002-22-22-22-200000000
χ66222-2-2-2-22-22-2-222-2-22222-2-22-2-2-2-2-2-2222222-222-2-222-2-2-2-222-2-22200000000000000000000000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ67222-2-2-2-22-22-2-222-2-22222-2-22-2-2-2-2-2-2222222-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ68222-2-2-2-22-22-2-222-2-22222-2-22-2-2-2-2-2-2222222-2-2-222-2-22222-2-222-2-200000000000000000000000000000000000000000000000000000000000000000000-22-222-22-200000000
χ69222-2-2-2-22-22-2-222-2-222-2-222-222222-22-2-2-2-2-2222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000
χ70222-2-2-2-22-22-2-222-2-222-2-222-222222-22-2-2-2-2-2222-2-2-2-222-2-22222-2-200000000000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000
χ71222-2-2-2-22-22-2-222-2-222-2-222-222222-22-2-2-2-2-22-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000
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Here i is the imaginary unit (i² = −1).